Calculate the difference and ratio between consecutive terms. Is either of these the same throughout the sequence?
Is the Sequence Geometric, Arithmetic, or Neither?Geometric Explanation: The ratio between any two consecutive terms is 15.
Practice makes perfect
We want to identify the given sequence as arithmetic, geometric, or neither. To do so we will calculate the difference and ratio between consecutive terms.
We can see above that the differences are not the same. However the ratios are the same. Therefore, the sequence is a geometric sequence with a common ratio of 15.
